Skip to main content
Log in

Modeling Packet Delay in Multiplexed Video Traffic

  • Published:
Telecommunication Systems Aims and scope Submit manuscript

Abstract

In this paper a Markov chain based characterization of a single video source is used to model multiplexed video traffic and the resulting packet delay. The multiplexed video stream of statistically identical sources is represented using a reduced order approximation of the superposed Markov generator matrix. It is shown that inadequate spectral content in the single source generator matrix is manifested as an underestimate of the packet delay probabilities for the multiplexed stream. A new method for simplifying the generator matrix for the multiplexed video stream that amply models its spectral content is given. The simulated and calculated results using the aforementioned model are shown be in good agreement.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. D. Anick, D. Mitra and M.M. Sondhi, Stochastic theory of a data-handling system with multiple sources, Bell System Technical Journal 61 (1982) 1871-1894.

    Google Scholar 

  2. K. Chandra and A.R. Reibman, Modeling two-layer SNR scalable MPEG-2 video traffic, in: Proc. 7th Internat. Workshop on Packet Video, Brisbane, Australia (1996) pp. 7-12.

  3. K. Chandra and A. Reibman, Modeling one-and two-layer variable bit rate video, IEEE/ACMTransactions on Networking 7 (1999) 398-413.

    Google Scholar 

  4. G. Choudhury, D.M. Lucantoni and W. Whitt, Squeezing the most out of ATM, IEEE Transactions on Communications 44 (1996) 203-217.

    Google Scholar 

  5. A.I. Elwalid and D. Mitra, Effective bandwidth of general Markovian traffic sources and admission control of high speed networks, in: Proc. IEEE INFOCOM '93, Vol. 1 (1993) pp. 3a.2.1-3a.2.10.

    Google Scholar 

  6. G. Haßlinger, Semi-Markovian modelling and performance analysis of variable rate traffic in ATM networks, Telecommunications Systems 7 (1997) 281-298.

    Google Scholar 

  7. D. Heyman and T.V. Lakshman, What are the implications of long-range dependence for VBR-video traffic engineering?, IEEE/ACM Transactions on Networking 4 (1996) 301-317.

    Google Scholar 

  8. S.-Q. Li and C. Hwang, Queue response of input correlation functions: Discrete spectral analysis, IEEE/ACM Transactions on Networking 1 (1993) 522-533.

    Google Scholar 

  9. S.-Q. Li and J.W. Mark, Traffic characterization for integrated services networks, IEEE Transactions on Communications 38 (1990) 1231-1242.

    Google Scholar 

  10. B. Maglaris, D. Anastassiou, P. Sen, G. Karlsson and J.D. Robbins, Performance models of statistical multiplexing in packet video communications, sources, IEEE Transactions on Communications 36 (1988) 834-844.

    Google Scholar 

  11. I. Norros, J.W. Roberts, A. Simonian and J.T. Virtamo, The superposition of variable bit rate sources in an ATM multiplexer, IEEE Journal on Selected Areas in Communications 9 (1991) 378-387.

    Google Scholar 

  12. J.W. Roberts (ed.), Performance Evaluation and Design of Multiservice Networks, COST 224 Final Rep., Commission of the European Communities, Brussels (1992) chapter 2.

    Google Scholar 

  13. J.W. Roberts and J.T. Virtamo, The superposition of periodic cell arrival streams in an ATM multiplexer, IEEE Transactions on Communications 39 (1991) 298-303.

    Google Scholar 

  14. P. Sen, B. Maglaris, N. Rikli and D. Anastassiou, Models for packet switching of variable-bit-rate sources, IEEE Journal on Selected Areas in Communications 7 (1989) 865-869.

    Google Scholar 

  15. Skelly, M. Schwartz and S. Dixit, A histogram-based model for video traffic behavior in an ATM multiplexer, IEEE/ACMTransactions on Networks 1 (1993) 446-459.

    Google Scholar 

  16. F. Yegenoglu, B. Jabbari and Y. Zhang, Motion-classified autoregressive modeling of variable bit rate video, IEEE Transactions on Circuits and Systems for Video Technology 3 (1993) 42-53.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Thompson, C., Chandra, K., Mulpur, S. et al. Modeling Packet Delay in Multiplexed Video Traffic. Telecommunication Systems 16, 335–345 (2001). https://doi.org/10.1023/A:1016610910236

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1016610910236

Navigation